Exercise 17 Page 446

Let's start by recalling the definitions of even functions and odd functions.

Even Function	Odd Function
$y = f (x)$ is even when $f (- x) = f (x)$ for each $x$ in the domain of $f .$ The graph of an even function is symmetric about the $y -$ axis.	$y = f (x)$ is odd when $f (- x) = - f (x)$ for each $x$ in the domain of $f .$ The graph of an odd function is symmetric about the origin — it looks the same after a rotation of $18 0^{\circ} .$

With these definitions in mind, let's consider the given graph.

If we reflect the graph in the $x -$ axis and the $y -$ axis, it will be mapped onto itself. Therefore, the function represented by the graph is odd.